Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719395 |
| Fitting | C2×C13×#125 ⋊ C2 |
| Sylow | C13 ⋊ C2×#554 |
1200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
218 conjugacy classes — view the full character table.
| maximal subgroup of | #15754564, #15829223, #15879484, … |
| maximal normal subgroup of | #15754564, #15829223, #15879484, … |
| maximal quotient of | C2×#13117710, C2×#13117737, C2×#13117744, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 18040);